A SOLUTION FOR SYSTEMS OF LINEAR FUZZY EQUATIONS IN SPITE OF THE NON-EXISTENCE OF A FIELD OF FUZZY NUMBERS

DOI10.1142/S0218488505003485zbMath1077.03033MaRDI QIDQ5692932

Etienne E. Kerre, Annelies Vroman, Glad Deschrijver

Publication date: 28 September 2005

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

approximate solutionfuzzy numberfuzzy arithmeticlinear fuzzy equation

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

General solutions of fully fuzzy linear systems ⋮ Application of fuzzy decision making to the fuzzy finite element method ⋮ Solving fuzzy complex system of linear equations ⋮ Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures

Cites Work

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• The concept of a linguistic variable and its application to approximate reasoning. II
• The concept of a linguistic variable and its application to approximate reasoning. III
• Fuzzy real algebra: Some results
• Fuzzy arithmetic with requisite constraints
• A new fuzzy arithmetic
• Defuzzification: criteria and classification

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